| 抛物型和双曲型积分-微分方程有限元逼近的超收敛性质 |
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| 引用本文： | 张铁,李长军.抛物型和双曲型积分-微分方程有限元逼近的超收敛性质[J].东北数学,2001,17(3):279-288. |
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| 作者姓名： | 张铁 李长军 |
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| 作者单位： | ShenyangInstituteofAutomation,Academiasinica,110016,DepartmentofMathematics,NortheasternUniversity,Sh |
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| 摘 要： | The object of this paper is to investigate the superconvergence properties of finite element approximations to parabolic and hyperbolic integro-differential equations.The quasi projection technique introduced earlier by Douglas et al.is developed to derive the O(h^2r)order knot superconvergence in the case of a single space variable,and to show the optimal order negative norm estimates in the case of several space variables.
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| 关 键 词： | 积分微分方程 超收敛性质 有限元逼近 抛物型 双曲型 |
Superconvergence of Finite Element Approximations to Parabolic and Hyperbolic Integro-Differential Equations |
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